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Simplifying (2x2 + 3x + 4) + -1(x2 + x + 2) = 0 Reorder the terms: (4 + 3x + 2x2) + -1(x2 + x + 2) = 0 Remove parenthesis around (4 + 3x + 2x2) 4 + 3x + 2x2 + -1(x2 + x + 2) = 0 Reorder the terms: 4 + 3x + 2x2 + -1(2 + x + x2) = 0 4 + 3x + 2x2 + (2 * -1 + x * -1 + x2 * -1) = 0 4 + 3x + 2x2 + (-2 + -1x + -1x2) = 0 Reorder the terms: 4 + -2 + 3x + -1x + 2x2 + -1x2 = 0 Combine like terms: 4 + -2 = 2 2 + 3x + -1x + 2x2 + -1x2 = 0 Combine like terms: 3x + -1x = 2x 2 + 2x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 2 + 2x + 1x2 = 0 Solving 2 + 2x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + x2 = 0 + -2 2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 2x + x2 = -2 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -2 + 1 Reorder the terms: 1 + 2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + 2x + x2 = -1 Factor a perfect square on the left side: (x + 1)(x + 1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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